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Finding the Fourth Proportional to 205,329.60, 283,351.83 and 114,686.89

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Solution

The fourth proportional to 205,329.60, 283,351.83 and 114,686.89 is: 158,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,329.60 : 283,351.83 = 114,686.89 : x
  2. Step 2: Convert to fraction form
    205,329.60/283,351.83 = 114,686.89/x
  3. Step 3: Cross multiply
    205,329.60x = 283,351.83 × 114,686.89
  4. Step 4: Simplify right side
    205,329.60x = 32,496,738,455.03
  5. Step 5: Solve for x
    x = 32,496,738,455.03/205,329.60
  6. Step 6: Final answer
    x = 158,266.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.